Distance-redshift relation in a realistic inhomogeneous universe

Tomohiro Okamura, Toshifumi Futamase

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


We investigate the distance-redshift relation in a realistic inhomogeneous universe where the mass distribution is described by the mass function of Sheth and Tormen. It is found that the derived distance deviates systematically from the standard distance up to 10% depending on the choice of the lowest halo mass in which baryonic matter condensed to form luminous object such as galaxies. Remarkably the derived distance is well approximated by the Dyer-Roeder distance if we choose the clumpiness parameter α calculated by our model. We also discuss the effect of inhomogeneities in the determination of dark energy parameter in the supernovae observation, and find that this effect must be taken into account for the future high redshift supernovae observation.

Original languageEnglish
Pages (from-to)511-520
Number of pages10
JournalProgress of Theoretical Physics
Issue number2
Publication statusPublished - 2009 Aug
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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